Least Common Multiple of 189/86, 958/59, 192/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/86, 958/59, 192/802 quickly i.e. 5793984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/86, 958/59, 192/802 is 5793984.

LCM(189/86, 958/59, 192/802) = 5793984

LCM of 189/86, 958/59, 192/802

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 189/86,958/59,192/802

Given numbers are 189/86,958/59,192/802

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 189,958,192

Least Common Multiple of Numerators i.e. LCM of 189,958,192 is 5793984.

GCF of Denominators means GCF of 86,59,802 as per the given fractions.

GCF of 86,59,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,958,192

LCM of Fractions 189/86,958/59,192/802 is 5793984

2 189, 958, 192
3 189, 479, 96
63, 479, 32

∴ So the LCM of the given numbers is 2 x 3 x 63 x 479 x 32 = 5793984

Least Common Multiple of 189,958,192 with GCF Formula

Least Common Multiple of 189,958,192 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 189,958,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,958,192) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(189,958,192) x common factors =1 x 6 = 6

LCM(189,958,192) = ( 189 × 958 × 192 ) / 6

LCM(189,958,192) = 34763904 / 6

LCM(189,958,192) = 5793984


Lets's calculate GCF of 86,59,802

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5793984/1

Therefore the LCM of Fractions 189/86,958/59,192/802 is 5793984

Greatest Common Factor of 86,59,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,59,802 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 86,59,802 . The biggest common factor number is the GCF number.
So the greatest common factor 86,59,802 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 189/86, 958/59, 192/802

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 189/86, 958/59, 192/802?

Answer: LCM of Numerators as per given numbers 189/86, 958/59, 192/802 is

LCM of Numerators i.e. for 189,958,192 is 5793984

GCF of denominators i.e. for 86,59,802 is 1.

Thus, LCM of Fractions is 5793984.Finally, LCM of Fractions for 189/86, 958/59, 192/802 is 5793984.